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Reflections on the q-Fourier transform and the q-Gaussian function
(Elsevier Science, 2013-05)
The standard q-Fourier Transform (qFT) of a constant diverges, which begs for a better treatment. In addition, Hilhorst has conclusively proved that the ordinary qFT is not of a one-to-one character for an infinite set of ...
Lattices from subfields of Q (xi n)
(Institute of Electrical and Electronics Engineers (IEEE), 2006-01-01)
In this paper we present a method for evaluating the center density of algebraic lattices from subfields of Q(xi n), where n is a positive integer. This method allows to reproduce rotated versions of dense lattices in some ...
Extended q-Gaussian and q-exponential distributions from gamma random variables
(American Physical Society, 2015-05-11)
The family of q-Gaussian and q-exponential probability densities fit thestatistical behavior of diverse complex self-similar non-equilibriumsystems. These distributions, independently of the underlying dynamics, can ...
Performing edge detection by difference of Gaussians using q-Gaussian kernels
(IOP PublishingBristol, 2014)
In image processing, edge detection is a valuable tool to perform the extraction of features from an image. This detection reduces the amount of information to be processed, since the redundant information (considered less ...
Wavelet q-Fisher Information for Scaling Signal Analysis
(MDPI, 2012-08)
Wavelet q-Fisher Information for Scaling Signal Analysis
(MDPI, 2012-08)
The kappa-mu distribution and the eta-mu distribution
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2007)
A new DNA cryptosystem based on AG codes evaluated in gaussian channels
(Springer, 2017)
This paper proposes a new cryptosystem sys-tem that combines DNA cryptography and algebraic curvesdefined over different Galois fields. The security of the pro-posed cryptosystem is based on the combination of DNAencoding, ...